Search a number
-
+
3122011104 = 253172936529
BaseRepresentation
bin1011101000010110…
…0001101111100000
322001120121121002220
42322011201233200
522343213323404
61233443311040
7140236441122
oct27205415740
98046547086
103122011104
111362326173
1273167b480
133a9a63964
142188c7212
151341454d9
hexba161be0

3122011104 has 96 divisors (see below), whose sum is σ = 8708303520. Its totient is φ = 975962112.

The previous prime is 3122011103. The next prime is 3122011129. The reversal of 3122011104 is 4011102213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122011103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474912 + ... + 481440.

It is an arithmetic number, because the mean of its divisors is an integer number (90711495).

Almost surely, 23122011104 is an apocalyptic number.

3122011104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354151760).

3122011104 is an abundant number, since it is smaller than the sum of its proper divisors (5586292416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3122011104 is a wasteful number, since it uses less digits than its factorization.

3122011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 3122011104 is about 55874.9595436095. The cubic root of 3122011104 is about 1461.5426092281.

Adding to 3122011104 its reverse (4011102213), we get a palindrome (7133113317).

It can be divided in two parts, 31220 and 11104, that added together give a palindrome (42324).

The spelling of 3122011104 in words is "three billion, one hundred twenty-two million, eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 293 408 544 586 816 879 1172 1632 1758 2344 3516 4688 4981 6529 7032 9376 9962 13058 14064 14943 19587 19924 26116 28128 29886 39174 39848 52232 59772 78348 79696 104464 110993 119544 156696 159392 208928 221986 239088 313392 332979 443972 478176 626784 665958 887944 1331916 1775888 1912997 2663832 3551776 3825994 5327664 5738991 7651988 10655328 11477982 15303976 22955964 30607952 32520949 45911928 61215904 65041898 91823856 97562847 130083796 183647712 195125694 260167592 390251388 520335184 780502776 1040670368 1561005552 3122011104